1x+3(4+9x)-(1x+3)=8x+4(3x+9)-(2+9x)+3

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Solution for 1x+3(4+9x)-(1x+3)=8x+4(3x+9)-(2+9x)+3 equation: 


Simplifying
1x + 3(4 + 9x) + -1(1x + 3) = 8x + 4(3x + 9) + -1(2 + 9x) + 3
1x + (4 * 3 + 9x * 3) + -1(1x + 3) = 8x + 4(3x + 9) + -1(2 + 9x) + 3
1x + (12 + 27x) + -1(1x + 3) = 8x + 4(3x + 9) + -1(2 + 9x) + 3

Reorder the terms:
1x + 12 + 27x + -1(3 + 1x) = 8x + 4(3x + 9) + -1(2 + 9x) + 3
1x + 12 + 27x + (3 * -1 + 1x * -1) = 8x + 4(3x + 9) + -1(2 + 9x) + 3
1x + 12 + 27x + (-3 + -1x) = 8x + 4(3x + 9) + -1(2 + 9x) + 3

Reorder the terms:
12 + -3 + 1x + 27x + -1x = 8x + 4(3x + 9) + -1(2 + 9x) + 3

Combine like terms: 12 + -3 = 9
9 + 1x + 27x + -1x = 8x + 4(3x + 9) + -1(2 + 9x) + 3

Combine like terms: 1x + 27x = 28x
9 + 28x + -1x = 8x + 4(3x + 9) + -1(2 + 9x) + 3

Combine like terms: 28x + -1x = 27x
9 + 27x = 8x + 4(3x + 9) + -1(2 + 9x) + 3

Reorder the terms:
9 + 27x = 8x + 4(9 + 3x) + -1(2 + 9x) + 3
9 + 27x = 8x + (9 * 4 + 3x * 4) + -1(2 + 9x) + 3
9 + 27x = 8x + (36 + 12x) + -1(2 + 9x) + 3
9 + 27x = 8x + 36 + 12x + (2 * -1 + 9x * -1) + 3
9 + 27x = 8x + 36 + 12x + (-2 + -9x) + 3

Reorder the terms:
9 + 27x = 36 + -2 + 3 + 8x + 12x + -9x

Combine like terms: 36 + -2 = 34
9 + 27x = 34 + 3 + 8x + 12x + -9x

Combine like terms: 34 + 3 = 37
9 + 27x = 37 + 8x + 12x + -9x

Combine like terms: 8x + 12x = 20x
9 + 27x = 37 + 20x + -9x

Combine like terms: 20x + -9x = 11x
9 + 27x = 37 + 11x

Solving
9 + 27x = 37 + 11x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-11x' to each side of the equation.
9 + 27x + -11x = 37 + 11x + -11x

Combine like terms: 27x + -11x = 16x
9 + 16x = 37 + 11x + -11x

Combine like terms: 11x + -11x = 0
9 + 16x = 37 + 0
9 + 16x = 37

Add '-9' to each side of the equation.
9 + -9 + 16x = 37 + -9

Combine like terms: 9 + -9 = 0
0 + 16x = 37 + -9
16x = 37 + -9

Combine like terms: 37 + -9 = 28
16x = 28

Divide each side by '16'.
x = 1.75

Simplifying
x = 1.75

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